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We say that three vertices u, v, and w of a simple graph G form a triangle if there are edges connecting all three pairs of these vertices. Find a formula for C(G) in terms of the number of triangles in G and the number of paths of length two in the graph
Find the horizontal and vertical asymptotes of the graph. Find the horizontal and vertical asymptotes of the graph of the function
Given a checkerboard and a particular type of polyomino (see Section 1.8), can this checkerboard be tiled using polyominoes of this type?
Calculate the point elasticity of demand for a drug when the average income in the community equals 50,000 and price of the drug is 400 demand function
Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p)=0.08p2 +300p.
Find the intercepts, vertex, maximum or minimum value, and range of the quadratic function f(x) = -(x - 3)2 + 2. Find the domain and intercepts of the function f(x) = 4 - 2x/x - 4
Withoutgraphing, answer the questions for the following linear system.
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 23 feet?
Postal regulations specify that a package sent by priority mail may have a combined length and girth of no more than 132 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by priority mail.
By what percent is the enrollment increasing each year?
Dry Cleaners. Claudio, a banking vice-president, took 17 neckties to Milto Cleaners. The rate for non-silk ties is $3.25 per tie and for silk ties is $3.60 per tie. His total bill was $58.75. How many silk ties did he have dry cleaned?
39 women used skin cream for 22 weeks. At the end of the period, a dermatologist judged whether each womam exhibited skin improvement. The results show that 22 women improved. Do the data provide sufficient evidence to conclude that the cream w..
write 300-500 words that respond to the following questions with your thoughts ideas and comments. this will be the
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